2807983860864 has 512 divisors, whose sum is σ = 9974888448000. Its totient is φ = 678953041920.

The previous prime is 2807983860821. The next prime is 2807983860887. The reversal of 2807983860864 is 4680683897082.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20513802 + ... + 20650230.

It is an arithmetic number, because the mean of its divisors is an integer number (19482204000).

Almost surely, 2^{2807983860864} is an apocalyptic number.

2807983860864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2807983860864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4987444224000).

2807983860864 is an abundant number, since it is smaller than the sum of its proper divisors (7166904587136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2807983860864 is a wasteful number, since it uses less digits than its factorization.

2807983860864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136516 (or 136504 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 69.

The spelling of 2807983860864 in words is "two trillion, eight hundred seven billion, nine hundred eighty-three million, eight hundred sixty thousand, eight hundred sixty-four".